Control in Finite and Infinite Dimension
Description
This book is the result of various master and summer school courses the author has taught. The objective is to provide the reader with an introduction to control theory and to the main tools allowing to treat general control systems. The author hopes this book will serve as motivation to go deeper into the theory or numerical aspects that are not covered in this book.
This book might be helpful for graduate students and researchers in the field of control theory.
Reviews / Votes
" Control in Finite and Infinite Dimension is an excellent textbook based on many years of in-depth teaching experience, as well as on the author's expertise in the field. It provides a concise and (mostly) self-contained introduction to mathematical control theory . . I recommend the book to anyone interested in a well-presented introduction to mathematical control theory. It will not serve as a one-time book, but rather as the one you reach for again and again." (Martin Lazar, SIAM Review, Vol. 68 (1), 2026)
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Person
Emmanuel Trélat is a full professor at Sorbonne Université (Paris) and is the director of Laboratoire Jacques-Louis Lions. He is the Editor in Chief of the journal ESAIM: Control Calc. Var. Optim. and is Associate Editor of several other journals, including IEEE Trans. Automat. Control and SIAM Review. He has been awarded the SIAM Outstanding Paper Prize (2006), Maurice Audin Prize (2010), Felix Klein Prize (European Math. Society, 2012), Blaise Pascal Prize (french Academy of Science, 2014), Big Prize Madame Victor Noury (french Academy of Science, 2016). He was a sectional speaker at ICM 2018. He is an elected member of Academia Europaea. His research interests range over control theory in finite and infinite dimension, optimal control, stabilization, geometric control, numerical analysis, shape optimization, sub-Riemannian geometry. He has been teaching theoretical and numerical control since 25 years.
Content
Chapter 1 Controllability.- Chapter 2. Optimal control.- Chapter 3 Stabilization.- Chapter 4 Semigroup theory.- Chapter 5 Linear control systems in Banach spaces.
